5181279556368 has 160 divisors (see below), whose sum is σ = 13700273126400. Its totient is φ = 1686946697728.

The previous prime is 5181279556363. The next prime is 5181279556373. The reversal of 5181279556368 is 8636559721815.

It is an interprime number because it is at equal distance from previous prime (5181279556363) and next prime (5181279556373).

It is a junction number, because it is equal to n+sod(n) for n = 5181279556299 and 5181279556308.

It is not an unprimeable number, because it can be changed into a prime (5181279556363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216968653 + ... + 216992531.

It is an arithmetic number, because the mean of its divisors is an integer number (85626707040).

Almost surely, 2^{5181279556368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5181279556368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850136563200).

5181279556368 is an abundant number, since it is smaller than the sum of its proper divisors (8518993570032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5181279556368 is a wasteful number, since it uses less digits than its factorization.

5181279556368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24589 (or 24583 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 66.

The spelling of 5181279556368 in words is "five trillion, one hundred eighty-one billion, two hundred seventy-nine million, five hundred fifty-six thousand, three hundred sixty-eight".